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Finding the Fourth Proportional to 11,420.84, 15,760.50 and 6,705.56

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Solution

The fourth proportional to 11,420.84, 15,760.50 and 6,705.56 is: 9,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.84 : 15,760.50 = 6,705.56 : x
  2. Step 2: Convert to fraction form
    11,420.84/15,760.50 = 6,705.56/x
  3. Step 3: Cross multiply
    11,420.84x = 15,760.50 × 6,705.56
  4. Step 4: Simplify right side
    11,420.84x = 105,682,978.38
  5. Step 5: Solve for x
    x = 105,682,978.38/11,420.84
  6. Step 6: Final answer
    x = 9,253.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.